Is it possible? Yes. Anything is possible with alittle ingenuity and some duct tape. Advised? No. The fan from intel is typically a very high quality fan. If you're going to do it, just swap the whole heatsink.
Not really possible with stock coolers. The fan housing is molded into the retention mechanism. Besides the problem with the stock cooler isn't so much the fan, but rather the size and construction of the heatsink itself. It's designed to perform just well enough to keep the processor within a certain temperature, and no better.
A lot of high quality aftermarket heatsinks come with old and new socket brackets. I got the Hyper N 220 and that came with both an AM2/AM2+/AM3/AM3+ bracket, as well as a 775 bracket and even the newer Intel sockets.